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The average number of muons in air showers and its connection with shower development has been studied extensively in the past. With the upcoming detector upgrades, UHECR observatories will be able to probe higher moments of the…

High Energy Astrophysical Phenomena · Physics 2019-06-12 Lorenzo Cazon , Ruben Conceição , Miguel Alexandre Martins , Felix Riehn

The energy spectrum of muons produced in air showers depends not only on the properties of the primary particle, but also on the atmosphere. This is because of the competition between decay and interaction of the parent mesons, which…

High Energy Astrophysical Phenomena · Physics 2025-09-22 Stef Verpoest , Marisol Catalan Olais , Frank Schroeder

Measuring the angles of muons and electrons in air showers is proposed as a method for studying the primary cosmic-ray mass composition near the knee of the cosmic-ray energy spectrum at a few $10^{15}$ eV. Conventional tracking detectors…

Astrophysics · Physics 2009-10-28 Konrad Bernlöhr

The composition of ultra-high energy cosmic rays is an important issue in astroparticle physics research, and additional experimental results are required for further progress. Here we investigate what can be learned from the statistical…

High Energy Astrophysical Phenomena · Physics 2012-03-19 Patrick Younk , Markus Risse

We demonstrate that the shower-to-shower fluctuations of the muon content of extensive air showers correlate with the fluctuations of a variable of the first interaction of Ultra High Energy Cosmic Rays, which is computed from the fraction…

High Energy Physics - Phenomenology · Physics 2018-07-25 Lorenzo Cazon , Ruben Conceição , Felix Riehn

In extensive air shower experiments, the number of muons crossing a detector at a given position, as well as their arrival time, arrival direction, and energy, are determined by a more fundamental 3-dimensional distribution linked to the…

High Energy Physics - Phenomenology · Physics 2023-03-15 Lorenzo Cazon , Rúben Conceição , Felix Riehn

We study the logarithmic accuracy of angular-ordered parton showers by considering the singular limits of multiple emission matrix elements. This allows us to consider different choices for the evolution variable and propose a new choice…

High Energy Physics - Phenomenology · Physics 2020-03-27 Gavin Bewick , Silvia Ferrario Ravasio , Peter Richardson , Michael H. Seymour

We study the influence of shower fluctuations, and the possible presence of different nuclear species in the primary cosmic ray spectrum, on the experimental determination of both shower energy and the proton air inelastic cross section…

Astrophysics · Physics 2011-05-12 Jaime Alvarez-Muñiz , Ralph Engel , T. K. Gaisser , Jeferson A. Ortiz , Todor Stanev

The Sydney University Giant Air-shower Recorder (SUGAR) measured the muon component of extensive air showers with a unique array of muon detectors. The SUGAR data allow us to reconstruct the empirical dependence of muon density on the…

High Energy Astrophysical Phenomena · Physics 2022-05-18 N. N. Kalmykov , I. S. Karpikov , G. I. Rubtsov , S. V. Troitsky

By using the integral method in the muon propagation through water, we calculate the range fluctuation of high and ultra high energy muons. Many authors divide all radiative processes into two parts, namely, the continuous part and…

High Energy Astrophysical Phenomena · Physics 2015-03-17 Y. Okumura , N. Takahashi , A. Misaki

At ground level, the azimuthal distribution of muons in inclined Extensive Air Showers (EAS) is asymmetric, mainly due to geometric effects. Several EAS observables sensitive to the primary particle mass, are constructed after mapping the…

High Energy Astrophysical Phenomena · Physics 2020-05-06 Nicusor Arsene , Markus Roth , Octavian Sima

The role of Horizontal Showers induced by cosmic rays is discussed in detail. A new approach to the calculation of the muon component in horizontal air showers induced by protons, heavier nuclei or photons is presented which allows a simple…

Astrophysics · Physics 2009-10-31 Enrique Zas

The accuracy of parton-shower simulations is often a limiting factor in the interpretation of data from high-energy colliders. We present the first formulation of parton showers with accuracy one order beyond state-of-the-art…

High Energy Physics - Phenomenology · Physics 2024-06-14 Silvia Ferrario Ravasio , Keith Hamilton , Alexander Karlberg , Gavin P. Salam , Ludovic Scyboz , Gregory Soyez

The model dependence of the development of extensive air showers generated by high-energy cosmic-ray particles in the atmosphere is studied. The increase of proton-proton and proton-air inelastic cross-sections and values for the elasticity…

Astrophysics · Physics 2008-11-26 Joerg R. Hoerandel

We present a measurement of the mean number of muons with energies larger than 500 GeV in near-vertical extensive air showers initiated by cosmic rays with primary energies between 2.5 PeV and 100 PeV. The measurement is based on events…

High Energy Physics - Experiment · Physics 2025-10-20 R. Abbasi , M. Ackermann , J. Adams , S. K. Agarwalla , J. A. Aguilar , M. Ahlers , J. M. Alameddine , N. M. Amin , K. Andeen , C. Argüelles , Y. Ashida , S. Athanasiadou , S. N. Axani , R. Babu , X. Bai , J. Baines-Holmes , A. Balagopal V. , S. W. Barwick , S. Bash , V. Basu , R. Bay , J. J. Beatty , J. Becker Tjus , P. Behrens , J. Beise , C. Bellenghi , B. Benkel , S. BenZvi , D. Berley , E. Bernardini , D. Z. Besson , E. Blaufuss , L. Bloom , S. Blot , I. Bodo , F. Bontempo , J. Y. Book Motzkin , C. Boscolo Meneguolo , S. Böser , O. Botner , J. Böttcher , J. Braun , B. Brinson , Z. Brisson-Tsavoussis , R. T. Burley , D. Butterfield , M. A. Campana , K. Carloni , J. Carpio , S. Chattopadhyay , N. Chau , Z. Chen , D. Chirkin , S. Choi , B. A. Clark , A. Coleman , P. Coleman , G. H. Collin , A. Connolly , J. M. Conrad , R. Corley , D. F. Cowen , C. De Clercq , J. J. DeLaunay , D. Delgado , T. Delmeulle , S. Deng , P. Desiati , K. D. de Vries , G. de Wasseige , T. DeYoung , J. C. Díaz-Vélez , S. DiKerby , M. Dittmer , A. Domi , L. Draper , L. Dueser , D. Durnford , K. Dutta , M. A. DuVernois , T. Ehrhardt , L. Eidenschink , A. Eimer , P. Eller , E. Ellinger , D. Elsässer , R. Engel , H. Erpenbeck , W. Esmail , S. Eulig , J. Evans , P. A. Evenson , K. L. Fan , K. Fang , K. Farrag , A. R. Fazely , A. Fedynitch , N. Feigl , C. Finley , L. Fischer , D. Fox , A. Franckowiak , S. Fukami , P. Fürst , J. Gallagher , E. Ganster , A. Garcia , M. Garcia , G. Garg , E. Genton , L. Gerhardt , A. Ghadimi , C. Glaser , T. Glüsenkamp , J. G. Gonzalez , S. Goswami , A. Granados , D. Grant , S. J. Gray , S. Griffin , S. Griswold , K. M. Groth , D. Guevel , C. Günther , P. Gutjahr , C. Ha , C. Haack , A. Hallgren , L. Halve , F. Halzen , L. Hamacher , M. Ha Minh , M. Handt , K. Hanson , J. Hardin , A. A. Harnisch , P. Hatch , A. Haungs , J. Häußler , K. Helbing , J. Hellrung , L. Hennig , L. Heuermann , R. Hewett , N. Heyer , S. Hickford , A. Hidvegi , C. Hill , G. C. Hill , R. Hmaid , K. D. Hoffman , D. Hooper , S. Hori , K. Hoshina , M. Hostert , W. Hou , T. Huber , K. Hultqvist , K. Hymon , A. Ishihara , W. Iwakiri , M. Jacquart , S. Jain , O. Janik , M. Jeong , M. Jin , N. Kamp , D. Kang , X. Kang , A. Kappes , L. Kardum , T. Karg , M. Karl , A. Karle , A. Katil , M. Kauer , J. L. Kelley , M. Khanal , A. Khatee Zathul , A. Kheirandish , H. Kimku , J. Kiryluk , C. Klein , S. R. Klein , Y. Kobayashi , A. Kochocki , R. Koirala , H. Kolanoski , T. Kontrimas , L. Köpke , C. Kopper , D. J. Koskinen , P. Koundal , M. Kowalski , T. Kozynets , N. Krieger , J. Krishnamoorthi , T. Krishnan , K. Kruiswijk , E. Krupczak , A. Kumar , E. Kun , N. Kurahashi , N. Lad , C. Lagunas Gualda , L. Lallement Arnaud , M. Lamoureux , M. J. Larson , F. Lauber , J. P. Lazar , K. Leonard DeHolton , A. Leszczyńska , J. Liao , Y. T. Liu , M. Liubarska , C. Love , L. Lu , F. Lucarelli , W. Luszczak , Y. Lyu , J. Madsen , E. Magnus , K. B. M. Mahn , Y. Makino , E. Manao , S. Mancina , A. Mand , I. C. Mari{ş} , S. Marka , Z. Marka , L. Marten , I. Martinez-Soler , R. Maruyama , F. Mayhew , F. McNally , J. V. Mead , K. Meagher , S. Mechbal , A. Medina , M. Meier , Y. Merckx , L. Merten , J. Mitchell , L. Molchany , T. Montaruli , R. W. Moore , Y. Morii , A. Mosbrugger , M. Moulai , D. Mousadi , T. Mukherjee , R. Naab , M. Nakos , U. Naumann , J. Necker , L. Neste , M. Neumann , H. Niederhausen , M. U. Nisa , K. Noda , A. Noell , A. Novikov , A. Obertacke Pollmann , V. O'Dell , A. Olivas , R. Orsoe , J. Osborn , E. O'Sullivan , V. Palusova , H. Pandya , A. Parenti , N. Park , V. Parrish , E. N. Paudel , L. Paul , C. Pérez de los Heros , T. Pernice , J. Peterson , M. Plum , A. Pontén , V. Poojyam , Y. Popovych , M. Prado Rodriguez , B. Pries , R. Procter-Murphy , G. T. Przybylski , L. Pyras , C. Raab , J. Rack-Helleis , N. Rad , M. Ravn , K. Rawlins , Z. Rechav , A. Rehman , I. Reistroffer , E. Resconi , S. Reusch , C. D. Rho , W. Rhode , B. Riedel , A. Rifaie , E. J. Roberts , S. Robertson , M. Rongen , A. Rosted , C. Rott , T. Ruhe , L. Ruohan , J. Saffer , D. Salazar-Gallegos , P. Sampathkumar , A. Sandrock , G. Sanger-Johnson , M. Santander , S. Sarkar , J. Savelberg , P. Schaile , M. Schaufel , H. Schieler , S. Schindler , L. Schlickmann , B. Schlüter , F. Schlüter , N. Schmeisser , T. Schmidt , F. G. Schröder , L. Schumacher , S. Schwirn , S. Sclafani , D. Seckel , L. Seen , M. Seikh , S. Seunarine , P. A. Sevle Myhr , R. Shah , S. Shefali , N. Shimizu , B. Skrzypek , R. Snihur , J. Soedingrekso , A. Søgaard , D. Soldin , P. Soldin , G. Sommani , C. Spannfellner , G. M. Spiczak , C. Spiering , J. Stachurska , M. Stamatikos , T. Stanev , T. Stezelberger , T. Stürwald , T. Stuttard , G. W. Sullivan , I. Taboada , S. Ter-Antonyan , A. Terliuk , A. Thakuri , M. Thiesmeyer , W. G. Thompson , J. Thwaites , S. Tilav , K. Tollefson , S. Toscano , D. Tosi , A. Trettin , A. K. Upadhyay , K. Upshaw , A. Vaidyanathan , N. Valtonen-Mattila , J. Valverde , J. Vandenbroucke , T. Van Eeden , N. van Eijndhoven , L. Van Rootselaar , J. van Santen , J. Vara , F. Varsi , M. Venugopal , M. Vereecken , S. Vergara Carrasco , S. Verpoest , D. Veske , A. Vijai , J. Villarreal , C. Walck , A. Wang , E. Warrick , C. Weaver , P. Weigel , A. Weindl , J. Weldert , A. Y. Wen , C. Wendt , J. Werthebach , M. Weyrauch , N. Whitehorn , C. H. Wiebusch , D. R. Williams , L. Witthaus , M. Wolf , G. Wrede , X. W. Xu , J. P. Yañez , Y. Yao , E. Yildizci , S. Yoshida , R. Young , F. Yu , S. Yu , T. Yuan , A. Zegarelli , S. Zhang , Z. Zhang , P. Zhelnin , P. Zilberman

The origin and nature of ultra high energy cosmic rays remains being a mystery. However, great progress has been made in recent years due to the observations performed by the Pierre Auger Observatory and Telescope Array. In particular, it…

High Energy Astrophysical Phenomena · Physics 2020-10-28 A. C. Cobos , A. D. Supanitsky , A. Etchegoyen

The indirect ground-based observations of cosmic rays through extensive air showers in modern experiments typically involve the use of Monte Carlo simulations to determine the characteristics of the primary particles. These simulations…

High Energy Astrophysical Phenomena · Physics 2026-04-20 Nickolay S. Martynenko

We formulate some first fundamental elements of an approach for assessing the logarithmic accuracy of parton-shower algorithms based on two broad criteria: their ability to reproduce the singularity structure of multi-parton matrix…

High Energy Physics - Phenomenology · Physics 2020-02-27 Mrinal Dasgupta , Frédéric A. Dreyer , Keith Hamilton , Pier Francesco Monni , Gavin P. Salam

We introduce a simple branching model for the development of hadronic showers in the Earth's atmosphere. Based on this model, we show how the size of the pionic component followed by muons can be estimated. Several aspects of the subsequent…

High Energy Astrophysical Phenomena · Physics 2015-09-02 Vladimir Novotny , Dalibor Nosek , Jan Ebr

Multiple experiments reported evidences of a muon deficit in air shower simulations with respect to data, which increases with the primary energy. In this work, we study the muon deficit using measurements of the muon density at $1000\,$m…

High Energy Astrophysical Phenomena · Physics 2021-08-12 Flavia Gesualdi , Alberto Daniel Supanitsky , Alberto Etchegoyen